Multiple chaos arising from single-parametric perturbation of a degenerate homoclinic orbit

DOI10.1016/j.jde.2019.11.024OpenAlexW2991545483MaRDI QIDQ2300408

Chang Rong Zhu, Wei Nian Zhang

Publication date: 27 February 2020

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2019.11.024

zbMATH Keywords

transversalityexponential dichotomyLyapunov-Schmidt reductiondegenerate homoclinic solutiondegeneracy degree

Mathematics Subject Classification ID

Bifurcation theory for ordinary differential equations (34C23) Complex behavior and chaotic systems of ordinary differential equations (34C28) Perturbations, asymptotics of solutions to ordinary differential equations (34E10) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37) Dichotomy, trichotomy of solutions to ordinary differential equations (34D09) Nonautonomous smooth dynamical systems (37C60)

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